In the following problem, fill in the blanks with the appropriate numbers. You are pretending you are translating a Babylonian area problem like those described in the text. The problem to be solved is as follows:

The length of a rectangle minus its width is 38. The length times width is 1403. What is the length and the width?

Translation:

Take half the difference of the length and width, which is .

Square to get .

Add the area to get .

Take the square root to get .

The length is the square root plus half the difference. Length is .

The width is the sqaure root minus half the difference. Width is .